A sum of rs. 50,000 is divided among 6 men, 12 women and 17 boys so that 2 men get as much as 5 boys and 2 women get as much as 3 boys. What is the share of each boy?
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Answer:
m=men, b = boys, w=women
2 m = 5b,m:b=5:2. ... (1)
3b = 2w, b: w = 2:3. (2)
m:b: W=10:4:6=5:2:3
Here are 6 men, 17 boys and 12 women
so the ratio becomes
30:34:36 = 15:17:18
Dividing Rs 50000 in the ratio
15:17:18
17 boys will get 50000x17/50
= Rs.17000
each boy gets Rs 1000. Ans
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